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Finding the Fourth Proportional to 10,266.84, 14,168.12 and 5,790.36

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Solution

The fourth proportional to 10,266.84, 14,168.12 and 5,790.36 is: 7,990.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,266.84 : 14,168.12 = 5,790.36 : x
  2. Step 2: Convert to fraction form
    10,266.84/14,168.12 = 5,790.36/x
  3. Step 3: Cross multiply
    10,266.84x = 14,168.12 × 5,790.36
  4. Step 4: Simplify right side
    10,266.84x = 82,038,515.32
  5. Step 5: Solve for x
    x = 82,038,515.32/10,266.84
  6. Step 6: Final answer
    x = 7,990.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.